HW5_F11 - Homework 5 Geog210a Due: November 4, 2011 Text...

Homework 5 Geog210a Due: November 4, 2011 Text Problems : 7.3.3, 7.3.5, 7.3.10, 9.4.3, 9.4.5, 9.4.9, 9.6.1, 9.6.6, 9.6.7, 9.6.16 DV Problems : 1. A spherical container of liquid (a party ball) with a 22" diameter is drained of liquid (beer) at a rate which varies in time as F loss = 1.2 + 0.55 t; where F loss is in units of cubic feet per hour and t is in units of hours. a) How long will the party last? Hint: the party ends when the party ball empties. b) If F loss = 1.2 e 0.28t , when will the party end? c) Will you need to get another spherical container of liquid (make a beer run)? Make plots too using Matlab… 2. The instantaneous amount of happiness (in arbitrary units, H) you derive from being around your drunk uncle at Thanksgiving is a function of time of the day (t = hours since daybreak) and the number of beers he has consumed (b = number of bottles consumed so far that day), i.e. H(t,b) = 952 + b t – b

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